分数阶时滞微分系统的能控性判据  

Criterion of controllability for fractional differential systems with delay

作　　者：王俊[1] 周先锋[1] 温艳华[1] 

机构地区：[1]安徽大学数学科学学院,安徽合肥230601

出　　处：《安庆师范大学学报（自然科学版）》2017年第1期45-48,共4页Journal of Anqing Normal University(Natural Science Edition)

基　　金：国家自然科学基金(11471015);安徽省自然科学基金(1508085MA01)

摘　　要：本文主要考虑一类分数阶时滞微分系统的能控性问题,这类系统有两个不同阶数的分数阶导数。首先将微分系统转化为积分系统,然后运用Laplace变换得到系统的解,最后给出该类系统完全能控的充要条件。In this paper,we focus on the controllability of fractional delay differential systems,it contains two different fractional derivatives.The main task of this paper is firstly transfer the differential systems into integral systems,then via Laplace transform to get the solution of the systems.The necessary and sufficient conditions of the controllability of fractional differential systems can be obtained according to the definition of controllability.

关 键 词：分数阶微分系统 完全能控 LAPLACE变换 时滞 

分 类 号：O231.1[理学—运筹学与控制论]